一題數學 continuously compound 10點
on a seccretive search through your grandfather's basement you
uncover an old stamp collection. The stamp os worth 1000 dollars
now, but in ten years, it will triple its value. Unfortunately, you will
have to store the collection in a special warehouse during this time.
The storage fee is 200, compound continuously at a rate 5% per year
but is not paid until you withdraw your collection from warehouse.
Sould you store the stamp collection or sell it immediately and invest
the proceeds in the stock market, whrere you expect to make 9.5%
continuously compounded return over the coming ten years.
他說5% per year for ten years 我總不能一年一年算吧
搞得我霧煞煞 原來是英文不好 不是數學不會
另外一提 你可以去回答阿 這樣我點數一起給你
- 1 decade agoFavorite Answer
首先計算 10 年保管費
200 * e^(0.05*10) ≒ 329.74
10 年後之價值 ~
1000 * 3 – 329.74 = 2670.06
投資股票 10 年之價值 ~
1000 * e^(0.095*10) ≒ 2585.71
2009-02-19 08:05:08 補充：
您這題已經重複發問了, 因此下列網址, 思瑜就不再回答了
2009-02-19 18:40:54 補充：
對呀! 因為在 storage fee 方面, 後面有加這句話
but is not paid until you withdraw your collection from warehouse
另外, 思瑜謝謝您的好意, 思瑜心領了
2009-02-19 18:43:08 補充：
不過剛剛看了一下, Hecate 的作法不是連續複利的方式唷!
他的作法是年複利方式, 錯掉了Source(s): 思瑜的部落格